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kari74 [83]
3 years ago
10

a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year

s?
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

  6745.09

Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

  FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

  FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09

After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.

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2 years ago
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Nikolay [14]

Answer:

The distance between the points (6,-4) and (0,5) = 10.82 units

Step-by-step explanation:

<u>Distance formula</u>

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

<u>To find the distance between given points</u>

Here, (x1, y1)  =  (6, -4) and (x2, y2)  = (0, 5)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(0 - 6)² + (5 - -4)²]

=√[(-6)² + (9)²]

= √[36 + 81]

= √[117

= 10.82

The distance between the points (6,-4) and (0,5) = 10.82 units

Hope this helps!!!!!!!!

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3 years ago
USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tal
maw [93]

Answer:

14/1.8 = x/4

Step-by-step explanation:

Using similar triangles,

height of man/length of man's shadow = height of tree/length of tree's shadow

1.8/4 = x/14

x/14 = 1.8/4

If we cross-multiply, we have

1.8 × 14 = x × 4

dividing both sides by 4 and 1.8,we have

14/4 = x/1.8

x/1.8 = 14/4

So, the two expressions we have are

x/14 = 1.8/4 and x/1.8 = 14/4.

So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.

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nataly862011 [7]

Answer:

Step-by-step explanation:

breanna's oranges were $1.25

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2 years ago
What is the radius and diameter of the following circle?
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Answer:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Step-by-step explanation:

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3 years ago
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